Long Diagonal of Hexagon given Circumradius Calculator

✖The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.ⓘ Circumradius of Hexagon [r_c]

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✖The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.ⓘ Long Diagonal of Hexagon given Circumradius [d_Long]

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Long Diagonal of Hexagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Diagonal of Hexagon = 2*Circumradius of Hexagon
d_Long = 2*r_c
This formula uses 2 Variables

Variables Used

Long Diagonal of Hexagon - (Measured in Meter) - The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.
Circumradius of Hexagon - (Measured in Meter) - The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Hexagon: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = 2*r_c --> 2*6

Evaluating ... ...

d_Long = 12

STEP 3: Convert Result to Output's Unit

12 Meter --> No Conversion Required

FINAL ANSWER

12 Meter <-- Long Diagonal of Hexagon

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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LaTeX Go Long Diagonal of Hexagon = 2/sqrt(3)*Short Diagonal of Hexagon

Long Diagonal of Hexagon given Inradius

LaTeX Go Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon

Long Diagonal of Hexagon given Height

LaTeX Go Long Diagonal of Hexagon = 2/sqrt(3)*Height of Hexagon

Long Diagonal of Hexagon given Perimeter

LaTeX Go Long Diagonal of Hexagon = Perimeter of Hexagon/3

< Diagonals of Hexagon Calculators

Long Diagonal of Hexagon given Short Diagonal

LaTeX Go Long Diagonal of Hexagon = 2/sqrt(3)*Short Diagonal of Hexagon

Short Diagonal of Hexagon

LaTeX Go Short Diagonal of Hexagon = (sqrt(3))*Edge Length of Hexagon

Long Diagonal of Hexagon given Circumradius

LaTeX Go Long Diagonal of Hexagon = 2*Circumradius of Hexagon

Long Diagonal of Hexagon

LaTeX Go Long Diagonal of Hexagon = 2*Edge Length of Hexagon

Long Diagonal of Hexagon given Circumradius Formula

LaTeX Go

Long Diagonal of Hexagon = 2*Circumradius of Hexagon
d_Long = 2*r_c

What is a Hexagon?

A regular Hexagon is defined as a hexagon that is both equilateral and equiangular. Simply it is the six sided regular polygon. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius of the circumscribed circle or circumcircle, which equals 2/sqrt(3) times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular Hexagon has six rotational symmetries.

How to Calculate Long Diagonal of Hexagon given Circumradius?

Long Diagonal of Hexagon given Circumradius calculator uses Long Diagonal of Hexagon = 2*Circumradius of Hexagon to calculate the Long Diagonal of Hexagon, The Long Diagonal of Hexagon given Circumradius is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon, and calculated using the circumradius of the Hexagon. Long Diagonal of Hexagon is denoted by d_Long symbol.

How to calculate Long Diagonal of Hexagon given Circumradius using this online calculator? To use this online calculator for Long Diagonal of Hexagon given Circumradius, enter Circumradius of Hexagon (r_c) and hit the calculate button. Here is how the Long Diagonal of Hexagon given Circumradius calculation can be explained with given input values -> 12 = 2*6.

FAQ

What is Long Diagonal of Hexagon given Circumradius?

The Long Diagonal of Hexagon given Circumradius is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon, and calculated using the circumradius of the Hexagon and is represented as d_Long = 2*r_c or Long Diagonal of Hexagon = 2*Circumradius of Hexagon. The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.

How to calculate Long Diagonal of Hexagon given Circumradius?

The Long Diagonal of Hexagon given Circumradius is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon, and calculated using the circumradius of the Hexagon is calculated using Long Diagonal of Hexagon = 2*Circumradius of Hexagon. To calculate Long Diagonal of Hexagon given Circumradius, you need Circumradius of Hexagon (r_c). With our tool, you need to enter the respective value for Circumradius of Hexagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Long Diagonal of Hexagon?

In this formula, Long Diagonal of Hexagon uses Circumradius of Hexagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Long Diagonal of Hexagon = 2/sqrt(3)*Height of Hexagon
Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon
Long Diagonal of Hexagon = Perimeter of Hexagon/3

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